Notes on Operator-valued Noncommutative Probability

Operator-Valued Noncommutative Probability. (169 pages)
These notes are a systematic exposition / reference for results on free, boolean, and monotone independence, and they include a few new results as well. I welcome editorial feedback. Last updated November 19, 2018. Some material from these notes has been subsumed into the paper "Operad of Non-commutative Independences."